Show by an example that (AB)" B™A".

Q: In the expansion of (x+y)35

A: We use the Binomial Theorem to find the required coefficient in the given question.

Q: The prime f actorization of 7007 is

A: 7007=7×1001       =7×11×91       =7×11×13×7       =72·11·13

Q: Let 21 = 2+ j3 and z 4 j5. Evaluate

A:

Q: Show that 1+2+3+...+n= ("""). (";"').

A:

Q: What is the coefficeint of a²b³cª in the expansion of (a + 2b + 3c)® ?

A: In the given question we have to find the coefficient of  a2b3c4 in expansion of a+2b+3c9

Q: b) Show that XNOT =

A:

Q: 6. A. Show that 81 – x²dx : 81n %3| 4

A: According to company rule we can answer only first question and rest can be reposted

Q: Suppose that GCD(a, b, c) = 1. Is it necessarily true that GCD(a, b) =GCD(b, c) = 1? Explain your…

A: To check the statement, If GCDa, b, c=1, is it necessarily true that GCDa, b=GCDb, c=1?

Q: Find the coefficient of x^2 in the expansion of (x+y)^12

A: This is a binomial expansion problem. Here we can use general concept of expanding a binomial…

Q: Prove by mathematical induction

A: The principle of mathematical induction is a technique or method that is used to prove the statement…

Q: Show that 8.

A: A∞=Max∑j=1naij  for i=1 to n=maximum row sumA*=AT=ajiA*1=Max∑i=1naji  for j=1 to n=maximum column…

Q: Find the Term that free from x of the expansion (x2 +10

A: Given expansion(x2+(2/x3))10 a=x2 and b=2/x3, n=10 Formula  General term formula is, Tr+1= nCr…

Q: The coefficient of z in the expansic

A: Given expression is  1-coszz. We have to find the coefficient of z5 in 1-coszz about z=0.

Q: Stafe endwer, your or The exply sef is th comneded.

A: The empty set is path-connected. The above statement is  TRUE.

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: We have given expression 3x2-y310 Then, fourth term of the expression…

Q: but not こ *6A-エ none of thesce

A: Let us assume two matrices A and B. To prove or disprove if AB=I then BA=I. Let us consider matrices…

Q: 1S prove that (a + b) = a² + b².

A:

Q: Write the equivalent combinatorial expression for:

A:

Q: Let A

A:

Q: Find A', B' and (AB)". Deduce that (AB) = B'A". %3D

A:

Q: Expand the expression for Mr Taylor.

A: The previous solution is incorrect. Please follow this one.

Q: It is possible to rewrite the expression 4. 2 In(x) – In(ax) as In(kx) where k is a constant.…

A:

Q: The expansion of 500P3 is

A: The formula for nPr is defined as nPr = n! / (n - r)!

Q: (16) Show that AB=BA for 0 0 0 3 0 0 0 1 A = and B = 0 3 1 2

A: A=-100030001 and B=500030002

Q: () Write the equivalent combinatorial expression for:

A: We have to find equivalent formula.

Q: Show that A\ (Bnc) (A\B)U(A\C).

A:

Q: Find (a) S¥ (@) (b) Syy (@)

A: Answer: For the given data, We get

Q: 8. Use the Boolean rules to simplify ¬((pVq) → (¬pVq)).

A: Formula: p → q≡ ¬p ∨ q The given Boolean expression is: ¬(p∨q)→(¬p∨q) Rewrite the expression using…

Q: If ururx)) 7+7X フォプス」 Of the following true? select all that apply which could please

A: The solution for the above question is as shown below.

Q: At 7 a.m., a colony of 100 bacteria is placed on a petri dish where the population will triple every…

A:

Q: Show that ā b 12

A:

Q: Let a = . Find Ja]. - 2, 2,1 >. Find lä].

A:

Q: Find the 2nd term in the expansion of (a + b)º in simplest form.

A: Solved below

Q: 2- w = - w

A: We have given a complex number property;

Q: Hiw:Show that the distawe between the paintfgtit ud the live dsxaby +c=o is H-5) d= axabyite %3D

A:

Q: Find the Term that includes x? of the expansion (x³ +°

A:

Q: It is possible to rewrite the expression 2 In(x) – In(ax) as In(kx) where k is a constant. Perform…

A: The given expression is: 2 ln(x)-ln(ax)

Q: The coefficient of x²y* in the expansion of (4x-y)° is 240. True False

A: As we know the formula for expansion (a+b)n=C0nanb0+C1nan-1b1+C2nan-2b2+.......+Cnna0bn   Here, a=4x…

Q: Which term of the expansion of (x + 7)° contains x° Term number contains x°.

A:

Q: Find the 2nd term in the expansion of (a + b)° in simplest form.

A:

Q: Find the Term that includes x² of the expansion (x³ +

A:

Q: Verify that A → B is equivalent to A ∨ B.

A:

Q: Define β1 stands for?

A: β1 is mainly used in linear regression.  The linear regression is defined as the mathematical linear…

Q: " ] Let A =

A:

Q: Express 3x, xπ, and xsin x using the base e.

A: Our Aim is to express the following function using the base e given below:-(i) 3x(ii) xπ(iii) xsin x

Q: Find the 2nd term in the expansion of (a + b)6 in simplest form.

A: We can find the 2nd term as below

Q: Do you  know anything about boolean algebra?

A: Please rate and feel free to ask any query about any part of the question.

Q: Find the coefficient of x2 in the expansion of (x – 1)37. -

A: Answer